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Multiscale Problems in the Life Sciences : From Microscopic to Macroscopic / by Jacek Banasiak, Mark A. J. Chaplain, Jacek Miękisz ; edited by Vincenzo Capasso, Mirosław Lachowicz.
- Format:
- Book
- Author/Creator:
- Banasiak, J., author.
- Chaplain, M. A. J., author.
- Miękisz, Jacek, author.
- Series:
- Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries ; 1940.
- C.I.M.E. Foundation Subseries ; 1940
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Operator theory.
- Distribution (Probability theory).
- Mathematics.
- Partial Differential Equations.
- Operator Theory.
- Probability Theory and Stochastic Processes.
- Game Theory, Economics, Social and Behav. Sciences.
- Local Subjects:
- Partial Differential Equations.
- Operator Theory.
- Probability Theory and Stochastic Processes.
- Game Theory, Economics, Social and Behav. Sciences.
- Physical Description:
- 1 online resource (XII, 330 pages 27 illustrations).
- Contained In:
- Springer eBooks
- Other Title:
- Lectures given at the Banach Center and C.I.M.E. Joint Summer School held in Be ̧dlewo, Poland September 4-9, 2006
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
- System Details:
- text file PDF
- Summary:
- The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory and game theory.
- Contents:
- Positivity in Natural Sciences
- Rescaling Stochastic Processes: Asymptotics
- Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation
- Lins Between Microscopic and Macroscopic Descriptions
- Evolutionary Game Theory and Population Dynamics
- Erratum.
- Other Format:
- Printed edition:
- ISBN:
- 9783540783626
- Access Restriction:
- Restricted for use by site license.
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